Abstract
The natural convection boundary layer flow on an arbitrarily inclined plate in a saturated porous medium is considered, where wall temperature is power function of the distance from the leading edge. Darcy-Boussinesq approximation is adopted to account for buoyancy force. Inclination parameter ξ is used such that all cases of the horizontal, Inclined and vertical plates can be described by a single set of transformed boundary layer equations. The non-linear coupled parabolic equations have been solved numerically by using an implicit finite-difference scheme for both positive and negative inclinations of the plate. Also, the similarity equations for the limiting cases of the horizontal and vertical plates are recovered by setting ξ = 0 and ξ = 1, respectively. Detailed results for skin friction coefficient and Nusselt number as well as for dimensionless velocity and temperature profiles are presented for a wide range of the parameter ξ . The comparison with other validated articles shows excellent agreement. http://dx.doi.org/10.5755/j01.mech.17.1.205
Highlights
Convection heat transfer in a saturated porous medium is in great attention for many applications in geophysics and energy systems
Rees and Riley [6], and Ingham et al [7] presented some solution for free convection along a flat plate in a porous medium which are only valid at small angles to the horizon
The purpose of this paper is to study natural convection above an inclined flat plate at a variable temperature range embedded in saturated porous medium
Summary
Convection heat transfer in a saturated porous medium is in great attention for many applications in geophysics and energy systems. Applications such as geothermal energy utilization, ground water pollution analysis, insulation of buildings, paper production and petroleum reservoir can be cited. While Pop and Na [9] have solved the free convection of an isothermal inclined surface. Their solution included all horizontal to vertical cases. Lesnic et al [12] studied analytically and numerically the case of a thermal boundary condition of mixed type on a nearly horizontal surface
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